On Explicit Probability Densities Associated with Fuss-Catalan Numbers
Abstract
In this note we give explicitly a family of probability densities, the moments of which are Fuss-Catalan numbers. The densities appear naturally in random matrices, free probability and other contexts.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2010
- DOI:
- arXiv:
- arXiv:1008.0271
- Bibcode:
- 2010arXiv1008.0271L
- Keywords:
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- Mathematics - Probability;
- Mathematics - Combinatorics;
- 60B20;
- 46L54;
- 05A99
- E-Print:
- 4 pages